97893960 has 64 divisors (see below), whose sum is σ = 294641280. Its totient is φ = 26019840.

The previous prime is 97893931. The next prime is 97893967. The reversal of 97893960 is 6939879.

It is not an unprimeable number, because it can be changed into a prime (97893967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41205 + ... + 43515.

It is an arithmetic number, because the mean of its divisors is an integer number (4603770).

Almost surely, 2^97893960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97893960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147320640).

97893960 is an abundant number, since it is smaller than the sum of its proper divisors (196747320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97893960 is a wasteful number, since it uses less digits than its factorization.

97893960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 97893960 is about 9894.1376582297. The cubic root of 97893960 is about 460.8772798508.

The spelling of 97893960 in words is "ninety-seven million, eight hundred ninety-three thousand, nine hundred sixty".